And the former Anfield boss did little to halt that speculation, when he admitted he found it hard being parted from his family, while he manages Napoli in Italy.
"My wife and two daughters live in Liverpool. It's the first time I haven't had them with me, it's not easy. [Napoli owner Aurelio] De Laurentiis knows how important my family values are to me," he explained.
For the big stories and the banter follow us on Twitter: @tribalfootball